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Finding the Fourth Proportional to 20,430.64, 30,647.82 and 7,951.60

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Solution

The fourth proportional to 20,430.64, 30,647.82 and 7,951.60 is: 11,928.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.64 : 30,647.82 = 7,951.60 : x
  2. Step 2: Convert to fraction form
    20,430.64/30,647.82 = 7,951.60/x
  3. Step 3: Cross multiply
    20,430.64x = 30,647.82 × 7,951.60
  4. Step 4: Simplify right side
    20,430.64x = 243,699,205.51
  5. Step 5: Solve for x
    x = 243,699,205.51/20,430.64
  6. Step 6: Final answer
    x = 11,928.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.